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Finding the Fourth Proportional to 65,749, 98,493.18 and 30,640.36

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Solution

The fourth proportional to 65,749, 98,493.18 and 30,640.36 is: 45,899.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,749 : 98,493.18 = 30,640.36 : x
  2. Step 2: Convert to fraction form
    65,749/98,493.18 = 30,640.36/x
  3. Step 3: Cross multiply
    65,749x = 98,493.18 × 30,640.36
  4. Step 4: Simplify right side
    65,749x = 3,017,866,492.74
  5. Step 5: Solve for x
    x = 3,017,866,492.74/65,749
  6. Step 6: Final answer
    x = 45,899.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.